Video Transcript
What is the probability of tossing
three coins and getting tails on all three?
We know that tossing each coin is
an independent event as the outcome of one does not affect the outcome of any of the
others. When dealing with three independent
events, the probability of event A, event B, and event C all occurring is equal to
the probability of A multiplied by the probability of B multiplied by the
probability of C. When tossing any coin, the
probability of landing on tails is one-half. This could also be written as 0.5
or 50 percent. We can therefore say that the
probability of each of the three coins individually landing on the tail is
one-half.
To calculate the probability of all
three of them landing on the tail, we need to multiply one-half by one-half by
one-half. Multiplying the numerators gives us
one. Multiplying the denominators gives
us eight, as two multiplied by two is four, and multiplying this by two gives us
eight. The probability of tossing three
coins and getting tails on all three is one out of eight or one-eighth.
